86842560 has 112 divisors (see below), whose sum is σ = 315138816. Its totient is φ = 19848192.

The previous prime is 86842537. The next prime is 86842571. The reversal of 86842560 is 6524868.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259 + ... + 13181.

Almost surely, 2^86842560 is an apocalyptic number.

86842560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86842560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157569408).

86842560 is an abundant number, since it is smaller than the sum of its proper divisors (228296256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86842560 is a wasteful number, since it uses less digits than its factorization.

86842560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12950 (or 12940 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 86842560 is about 9318.9355615328. The cubic root of 86842560 is about 442.8373118319.

The spelling of 86842560 in words is "eighty-six million, eight hundred forty-two thousand, five hundred sixty".